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modular arithmetic

system of algebraic operations defined for remainders under division by a fixed positive integer; system of arithmetic for integers, where numbers "wrap around" upon reaching a certain value—the modulus
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modular arithmetic

Summary

modular arithmetic is a branch of mathematics[1]. It ranks in the top 8% of branch_of_mathematics entities by monthly Wikipedia readership (859 views/month).[2]

Key Facts

  • modular arithmetic's image is recorded as Clock group.svg[3].
  • modular arithmetic's instance of is recorded as branch of mathematics[4].
  • modular arithmetic's instance of is recorded as mathematical theory[5].
  • modular arithmetic's subclass of is recorded as arithmetic[6].
  • modular arithmetic's part of is recorded as elementary number theory[7].
  • modular arithmetic's part of is recorded as theory of integers[8].
  • modular arithmetic's Commons category is recorded as Modular arithmetic[9].
  • modular arithmetic's Freebase ID is recorded as /m/051f3[10].
  • modular arithmetic's topic's main category is recorded as Category:Modular arithmetic[11].
  • modular arithmetic's Encyclopædia Britannica Online ID is recorded as topic/modular-arithmetic[12].
  • modular arithmetic's Stack Exchange tag is recorded as https://math.stackexchange.com/tags/modular-arithmetic[13].
  • modular arithmetic's has characteristic is recorded as congruence of integers[14].
  • modular arithmetic's different from is recorded as modulo operation[15].
  • modular arithmetic's is the study of is recorded as modulo[16].
  • modular arithmetic's is the study of is recorded as congruence of integers[17].
  • modular arithmetic's MathWorld ID is recorded as ModularArithmetic[18].
  • modular arithmetic's Quora topic ID is recorded as Modular-Arithmetic[19].
  • modular arithmetic's nLab ID is recorded as modular arithmetic[20].
  • modular arithmetic's on focus list of Wikimedia project is recorded as Wikipedia:Vital articles/Level/4[21].
  • modular arithmetic's maintained by WikiProject is recorded as WikiProject Mathematics[22].
  • modular arithmetic's Microsoft Academic ID is recorded as 32049820[23].
  • modular arithmetic's Brilliant Wiki ID is recorded as modular-arithmetic[24].
  • modular arithmetic's Australian Educational Vocabulary ID is recorded as scot/13628[25].
  • modular arithmetic's KBpedia ID is recorded as ModularArithmetic[26].
  • modular arithmetic's Australian Thesaurus of Education Descriptors ID is recorded as 1765[27].

Body

Publication

Part of include elementary number theory[7], a mathematical theory[28] and theory of integers[8].

Why It Matters

modular arithmetic ranks in the top 8% of branch_of_mathematics entities by monthly Wikipedia readership (859 views/month).[2] It has Wikipedia articles in 28 language editions, a strong signal of global cultural recognition.[29] It is known by 31 alternative names across languages and contexts.[30]

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [3] ↑ . wikidata.org.
  2. [4] ↑ . wikidata.org.
  3. [5] ↑ . wikidata.org.
  4. [6] ↑ . mathworld.wolfram.com. mathworld.wolfram.com. Provenance: wikidata.org.
  5. [7] ↑ . wikidata.org.
  6. [8] ↑ . wikidata.org.
  7. [9] ↑ . wikidata.org.
  8. [10] ↑ . wikidata.org.
  9. [11] ↑ . wikidata.org.
  10. [12] ↑ . wikidata.org.
  11. [13] ↑ . wikidata.org.
  12. [14] ↑ . mathworld.wolfram.com. mathworld.wolfram.com. Provenance: wikidata.org.
  13. [15] ↑ . wikidata.org.
  14. [16] ↑ . wikidata.org.
  15. [17] ↑ . wikidata.org.
  16. [18] ↑ . wikidata.org.
  17. [19] ↑ . Quora. wikidata.org.
  18. [20] ↑ . wikidata.org.
  19. [21] ↑ . wikidata.org.
  20. [22] ↑ . wikidata.org.
  21. [23] ↑ . wikidata.org.
  22. [24] ↑ . wikidata.org.
  23. [25] ↑ . wikidata.org.
  24. [26] ↑ . KBpedia. Retrieved . wikidata.org.
  25. [27] ↑ . wikidata.org.

Inline context (facts about related entities)

  1. [28] ↑ . Wikidata. wikidata.org. → on this site

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [29] ↑ . Wikidata sitelinks. wikidata.org.
  3. [30] ↑ . Wikidata aliases. wikidata.org.

📑 Cite this page

Use these citations when quoting this entity in research, articles, AI prompts, or wherever provenance matters. We aggregate Wikidata + Wikipedia + authoritative open-data sources; the stitched, scored, cross-referenced view is what 4ort.xyz contributes.

APA 4ort.xyz Knowledge Graph. (2026). modular arithmetic. Retrieved May 3, 2026, from https://4ort.xyz/entity/modular-arithmetic
MLA “modular arithmetic.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/modular-arithmetic.
BibTeX @misc{4ortxyz_modular-arithmetic_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{modular arithmetic}}, year = {2026}, url = {https://4ort.xyz/entity/modular-arithmetic}, note = {Accessed: 2026-05-03}}
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